Details

Time bar (total: 5.5s)

sample92.0ms

Algorithm
intervals
Results
45.0ms84×body1280valid
20.0ms67×body640valid
7.0ms72×body80valid
5.0ms19×body160valid
3.0ms15×body320valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1165
2195
3205
4205

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* r (sin b))
0.2b
(/ (* r (sin b)) (cos (+ a b)))
2.6b
(cos (+ a b))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×cos-sum frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 47
Calls
3 calls:
3.0ms
(* r (sin b))
4.0ms
(/ (* r (sin b)) (cos (+ a b)))
7.0ms
(cos (+ a b))

series157.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* r (sin b))
98.0ms
(/ (* r (sin b)) (cos (+ a b)))
23.0ms
(cos (+ a b))

simplify32.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0198305
1861257
25001256

prune146.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.1b
(* r (sin b))
0.2b
(* (sin a) (sin b))
0.2b
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l* add-log-exp
5×sin-mult
4×associate-/r/ cos-mult
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
5.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
3.0ms
(* r (sin b))
4.0ms
(* (sin a) (sin b))
9.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
37.0ms
(* r (sin b))
45.0ms
(* (sin a) (sin b))
207.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0344770
11513673
25002663

prune278.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* r (sin b))
0.2b
(* (sin a) (sin b))
0.2b
(/ (* r (sin b)) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b))))))
4.7b
(log (exp (* (sin a) (sin b))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×pow1
6×associate-*r* associate-*l*
5×add-log-exp
3×log-prod times-frac prod-exp associate-/r* log-pow cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×exp-prod flip3-- exp-to-pow frac-2neg rem-log-exp clear-num flip-- div-inv sin-mult associate-/l*
Counts
4 → 74
Calls
4 calls:
3.0ms
(* r (sin b))
6.0ms
(* (sin a) (sin b))
9.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b))))))
1.0ms
(log (exp (* (sin a) (sin b))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* r (sin b))
45.0ms
(* (sin a) (sin b))
209.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (log (exp (* (sin a) (sin b))))))
42.0ms
(log (exp (* (sin a) (sin b))))

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0301698
11309580
25001574

prune287.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* r (sin b))
0.2b
(/ 1 (- (* (cos b) (cos a)) (* (sin a) (sin b))))
0.2b
(* (sin a) (sin b))
0.3b
(* (* r (sin b)) (/ 1 (- (* (cos b) (cos a)) (* (sin a) (sin b)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
27×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity associate-*r*
22×add-cbrt-cube
18×times-frac
14×pow1 prod-exp
8×associate-/r/ cbrt-unprod
7×associate-*l*
6×div-exp
5×pow-prod-down sin-mult
4×cos-mult add-log-exp
3×cbrt-undiv rec-exp 1-exp associate-/r* *-commutative associate-/l*
2×flip3-- frac-sub flip-- div-inv sub-div unswap-sqr
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 114
Calls
4 calls:
3.0ms
(* r (sin b))
10.0ms
(/ 1 (- (* (cos b) (cos a)) (* (sin a) (sin b))))
4.0ms
(* (sin a) (sin b))
24.0ms
(* (* r (sin b)) (/ 1 (- (* (cos b) (cos a)) (* (sin a) (sin b)))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* r (sin b))
96.0ms
(/ 1 (- (* (cos b) (cos a)) (* (sin a) (sin b))))
42.0ms
(* (sin a) (sin b))
207.0ms
(* (* r (sin b)) (/ 1 (- (* (cos b) (cos a)) (* (sin a) (sin b)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04721265
123891084
250011056

prune293.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712
11712

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s2904×body1280valid
572.0ms1823×body640valid
189.0ms2200×body80valid
171.0ms723×body320valid
60.0ms352×body160valid