Details

Time bar (total: 43.4s)

sample512.0ms

Algorithm
intervals
Results
222.0ms1530×body80nan
86.0ms511×body80valid

simplify5.5s

Counts
1 → 1
Iterations
IterNodes
done5002
51717
4477
3179
271
133
017

prune85.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize153.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (log z))
0.3b
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.9b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
24×exp-sum
19×associate-*r*
18×prod-diff
13×add-cbrt-cube
11×add-exp-log
10×add-log-exp
9×pow1
6×log-prod associate-*l*
5×exp-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-rgt-in associate-/r* distribute-lft-in times-frac exp-diff prod-exp cbrt-unprod rem-exp-log
2×cbrt-undiv sub-neg diff-log div-exp pow-prod-down associate--l+ associate-*r/ *-commutative unswap-sqr
1×clear-num sum-log frac-2neg log-pow div-inv associate-/l* distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 118
Calls
4 calls:
36.0ms
(* y (log z))
811.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
250.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
557.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.6s

Counts
4 → 12
Calls
4 calls:
75.0ms
(* y (log z))
486.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
361.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
642.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify4.3s

Counts
130 → 130
Iterations
IterNodes
done5002
21423
1528
0244

prune2.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.8b

localize460.0ms

Local error

Found 4 expressions with local error:

1.9b
(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
3.4b
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
15×cbrt-div exp-diff
13×add-exp-log
9×add-cbrt-cube
7×associate-/l/
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×frac-times associate-*l/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-undiv associate-/r* times-frac pow1/3 div-exp prod-exp cbrt-unprod
1×clear-num frac-2neg div-inv associate-/l*
Counts
4 → 72
Calls
4 calls:
633.0ms
(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
531.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
531.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
550.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

series3.1s

Counts
4 → 12
Calls
4 calls:
645.0ms
(/ (* (* (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) (cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
811.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
849.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
776.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

simplify4.2s

Counts
84 → 84
Iterations
IterNodes
done5003
21302
1414
0165

prune2.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.8b

localize558.0ms

Local error

Found 4 expressions with local error:

1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
3.4b
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
3.4b
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
12×exp-sum
11×add-cube-cbrt
10×add-log-exp
9×prod-diff
5×exp-prod
4×expm1-log1p-u pow1 add-cbrt-cube exp-diff add-exp-log insert-posit16 log1p-expm1-u
3×cbrt-prod cbrt-div pow1/3 associate-*r/ rem-exp-log
2×diff-log
1×sum-log sub-neg associate--l+ distribute-lft-out-- difference-of-squares
Counts
4 → 70
Calls
4 calls:
274.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
549.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
488.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
543.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

series3.0s

Counts
4 → 12
Calls
4 calls:
344.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
868.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
851.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
940.0ms
(cbrt (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))

simplify6.3s

Counts
82 → 82
Iterations
IterNodes
done5001
33378
2919
1350
0163

prune2.6s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.7b

localize197.0ms