Date:Thursday, April 30th, 2020
Commit:79b0ceb2 on master
Hostname:warfa with Racket 7.5
Seed:2020121
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample1.7m (43.8%)

Algorithm
78×intervals
Results
36.3s44005×body1280valid
12.2s30652×body640valid
8.6s203111×body80valid
6.6s153227×body80nan
5.4s781×body5120exit
5.4s27572×body320valid
4.1s166239×pre80true
3.9s35688×body160valid
2.1s24431×body80overflowed
945.0ms3080×body2560valid
608.0ms3128×body2560nan
418.0ms2620×body1280nan
371.0ms16542×pre80false
165.0ms1296×body640nan
101.0ms246×body5120valid
71.0ms685×body320nan
22.0ms328×body160nan
0.0ms1×body160overflowed

prune48.0s (21.1%)

Filtered
26433 candidates to 12278 candidates (46.4%)

series43.7s (19.2%)

Calls

463 calls:

813.0ms
(sqrt (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))))
808.0ms
(sqrt (/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))))
755.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
737.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
732.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify15.9s (7.0%)

Algorithm
220×egg-herbie

regimes9.7s (4.3%)

Accuracy

Total 29.7b remaining (25.3%)

Threshold costs 5.6b (4.8%)

5.6b59.2%Cubic critical, narrow range
4.7b35.5%Cubic critical, medium range
3.9b85.7%Quadratic roots, full range
3.4b0%Cubic critical, wide range
2.5b64.5%Quotient of products

rewrite7.1s (3.1%)

Algorithm
142×rewrite-expression-head
Calls

463 calls:

255.0ms
(/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (fma (/ (+ x 1.0) (- x 1.0)) (+ (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))))
253.0ms
(/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (fma (/ (+ x 1.0) (- x 1.0)) (+ (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))))
167.0ms
(- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3))
159.0ms
(- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3))
150.0ms
(cbrt (pow (/ (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (fma (/ (+ x 1.0) (- x 1.0)) (+ (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))) 3))
Rules
24023×*-un-lft-identity
19963×times-frac
16967×add-sqr-sqrt
11369×add-cube-cbrt
9225×prod-diff
6730×unpow-prod-down
6531×cube-prod
3446×distribute-lft-out
3315×add-exp-log
2703×distribute-lft-out--
2490×difference-of-squares
1823×add-cbrt-cube
1559×associate-/r/
1273×cbrt-prod
1239×prod-exp
1119×associate-*r*
1046×div-exp
985×div-inv
847×sqrt-prod
840×pow1
697×sqr-pow add-log-exp
617×associate-/l*
568×flip-+
567×flip3-+
532×fma-neg
525×cbrt-unprod
514×associate-/r*
488×cbrt-undiv
471×distribute-rgt-neg-in
467×pow-exp
464×log1p-expm1-u
463×expm1-log1p-u
437×flip--
436×flip3--
381×associate-*l*
380×distribute-lft-neg-in
378×log-prod
344×pow-to-exp
253×unpow3 cube-mult
234×distribute-rgt-in distribute-lft-in
217×fma-def
190×unswap-sqr
134×pow-prod-down
123×neg-mul-1
122×associate-+l+
112×clear-num frac-2neg
101×associate-*r/
97×sub-neg
88×exp-sum
87×*-commutative
86×associate-/l/
82×associate-*l/
80×diff-log
75×log-pow
74×sqrt-div
72×frac-times
64×cos-sum
61×cbrt-div
54×pow1/3
52×unpow2
49×pow-unpow
47×1-exp div-sub
45×rec-exp
43×sum-log
41×exp-prod
35×difference-cubes log-div
32×pow1/2 sqrt-pow1
31×+-commutative
30×fma-udef distribute-rgt-out
28×neg-sub0
27×rem-sqrt-square swap-sqr
24×cube-div
23×sin-sum
22×associate--l+
20×tan-quot
19×neg-log associate-+l-
18×sin-diff
17×frac-add rem-log-exp pow-pow
16×associate-+r+
15×associate--l- cos-diff pow-flip frac-sub
14×rem-cube-cbrt sin-mult
11×pow-prod-up pow-sqr asin-acos
10×inv-pow distribute-neg-frac
8×pow2 associate-+r- pow-plus acos-asin
7×rem-exp-log sin-cos-mult
6×distribute-lft-neg-out distribute-frac-neg
4×exp-diff rem-cbrt-cube
3×acos-neg un-div-inv unsub-neg unpow-prod-up cos-mult associate--r- distribute-rgt-neg-out expm1-udef associate--r+
2×log1p-udef distribute-lft1-in expm1-log1p hypot-udef hypot-def
1×e-exp-1 sqrt-unprod log1p-expm1

localize2.2s (1.0%)

bsearch1.3s (0.6%)

end1.0ms (0.0%)